Bounded solutions for a class of Hamiltonian systems

Philip Korman; Guanying Peng

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arXiv · 1707.06171

Bounded solutions for a class of Hamiltonian systems

Philip Korman·Guanying Peng

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Abstract

We obtain bounded for all $t$ solutions of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on $(-L,L)$, with $L \rightarrow \infty$. We derive a priori estimates for the Dirichlet problems, allowing passage to the limit, via a diagonal sequence. This approach carries over to the PDE case.

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Philip Korman, Guanying Peng. 2017-07-19. Bounded solutions for a class of Hamiltonian systems. https://arxiv.org/abs/1707.06171

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